Reference
M. Hajiahmadi, B. De Schutter, and H. Hellendoorn, "Robust H
∞
control for switched nonlinear systems with application to high-level urban
traffic control,"
Proceedings of the 52nd IEEE Conference on
Decision and Control, Florence, Italy, pp. 899-904, Dec. 2013.
Abstract
This paper presents robust switching control strategies for switched nonlinear
systems with constraints on the control inputs. First, a model transformation
is proposed in a way that the constraint on the continuous control inputs is
relaxed. Next, the effect of disturbance is taken into account and the
L
2-gain analysis and H
∞ control design problem for
switched nonlinear systems are formulated and proved. Furthermore, the obtained
control laws are utilized for urban traffic networks modeled on a high-level
using macroscopic fundamental diagram representation. The flow transferred
between urban regions along with the timing plans for each region are
controlled using continuous and switching controllers. The control objective is
translated into a stability and disturbance attenuation problem for the urban
network represented as a switched nonlinear system. The uncertain trip demands
are considered as norm-bounded disturbance inputs. One major advantage of the
proposed scheme is that the parameters of the feedback switching law are
obtained offline. Hence, real-time control is possible with this scheme. The
achieved results show great performance of the proposed approach in handling
uncertain demand profiles.
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BibTeX
@inproceedings{HajDeS:13-039,
author = {Hajiahmadi, Mohammad and De Schutter, Bart and Hellendoorn,
Hans},
title = {Robust ${H}_{\infty}$ Control for Switched Nonlinear Systems
with Application to High-Level Urban Traffic Control},
booktitle = {Proceedings of the 52nd IEEE Conference on Decision and
Control},
address = {Florence, Italy},
pages = {899--904},
month = dec,
year = {2013}
}